0
Research Papers: Contact Mechanics

Closed-Form Equations for Three Dimensional Elastic-Plastic Contact of Nominally Flat Rough Surfaces

[+] Author and Article Information
Ali Sepehri, Kambiz Farhang

Department of Mechanical Engineering and Energy Processes, Southern Illinois University, Carbondale, IL 62901

J. Tribol 131(4), 041402 (Sep 23, 2009) (8 pages) doi:10.1115/1.3204775 History: Received April 07, 2007; Revised July 15, 2009; Published September 23, 2009

Approximate closed-form equations governing the shoulder-shoulder contact of asperities are derived based on a generalization by Chang, Etsion, and Bogy. The work entails the consideration of asperity shoulder-shoulder contact in which the volume conservation is assumed in the plastic flow regime. Shoulder-shoulder asperity contact gives rise to a slanted contact force comprising tangential and normal components. Each force component comprises elastic and plastic terms, which upon statistical summation yields the force component for the elastic and plastic forces for the contact of two rough surfaces. Half-plane tangential force due to elastic-plastic contact is derived through the statistical summation of tangential force component along an arbitrary tangential direction. Two sets of equations are found. In the first set of equations the functional forms are simpler and provide approximation of contact force to within 9%. The second set is enhanced equations derived from the first set of approximate equations that achieve an accuracy of within 0.2%.

FIGURES IN THIS ARTICLE
<>
Copyright © 2009 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Contacting rough and flat surfaces using the plastic asperity concept

Grahic Jump Location
Figure 2

Elastic-plastic contact of two rough surfaces; for wc2<wc1, elastic-plastic behavior would be dominated by surface 2

Grahic Jump Location
Figure 3

Interference showing normal and oblique elastic-plastic force terms and components

Grahic Jump Location
Figure 4

Contact of two rough surfaces with considering plastic fictitious surfaces

Grahic Jump Location
Figure 5

Dimensionless total normal force for wc=0.5; contour lines for various βs (shown as Bs)

Grahic Jump Location
Figure 6

Dimensionless total half-plane tangential force for wc=0.5; contour lines for various βs (shown as Bs)

Grahic Jump Location
Figure 7

ENp(h,βs) for wc=0.5 (Eq. 51)

Grahic Jump Location
Figure 8

EN(h,βs) for wc=0.5

Grahic Jump Location
Figure 9

EN(h,βs) for wc=0.5

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In